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Diffusionless crystal growth in a eutectic system during rapid solidification

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

Experiments on nonequilibrium rapid eutectic growth are surveyed. The applicability limits of the modern theoretical models describing rapid solidification of binary systems are assessed. A problem of rapid eutectic growth when the local equilibrium is violated in the solute diffusion field (in the bulk liquid and at the solid-liquid interface) is formulated. An analytical solution to the problem of rapid lamellar eutectic growth under local nonequilibrium conditions in the solute diffusion field is found. It is shown that the diffusion-limited growth of a eutectic pattern ceases as soon as a chemically homogeneous crystalline phase begins to grow when the critical point V=V D is achieved (V is the solid-liquid interface velocity and V D is the solute diffusion speed in the bulk liquid). At VV D, eutectic decomposition is suppressed and the nascent homogeneous crystalline phase has the initial (nominal) chemical composition of the binary system.

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References

  1. K. A. Jackson and J. D. Hunt, Trans. Metall. Soc. AIME 236, 1129 (1966).

    Google Scholar 

  2. M. C. Flemings, Solidification Processing (McGraw-Hill, New York, 1974; Mir, Moscow, 1977).

    Google Scholar 

  3. W. Kurz and P. R. Sahm, Gerichter Erstarrte Eutektische Werkstoffe (Springer, Berlin, 1975; Metallurgiya, Moscow, 1980).

    Google Scholar 

  4. Yu. N. Taran and V. I. Mazur, Structure of Eutectic Alloys (Metallurgiya, Moscow, 1978) [in Russian].

    Google Scholar 

  5. R. P. Elliot, Eutectic Solidification Processing. Crystalline and Glassy Alloys (Butterworths, London, 1983; Metallurgiya, Moscow, 1987).

    Google Scholar 

  6. W. Kurz and D. J. Fisher, Fundamentals of Solidification (Trans. Tech., Aedermannsdorf, 1992).

    Google Scholar 

  7. H. Müller-Krumbhaar, W. Kurz, and E. Brener, in Phase Transformations in Materials, Ed. by G. Kostorz (Wiley, Weinheim, 2001), p. 81.

    Chapter  Google Scholar 

  8. R. Trivedi, P. Magnin, and W. Kurz, Acta Metall. 35, 971 (1987).

    Article  Google Scholar 

  9. W. Kurz and R. Trivedi, Metall. Trans. A 22, 3051 (1991).

    Google Scholar 

  10. D. M. Herlach, P. K. Galenko, and D. Holland-Moriz, Metastable Solids from Undercooled Melts (Elsevier, Amsterdam, 2006).

    Google Scholar 

  11. P. K. Galenko, Zh. Tekh. Fiz. 65(11), 110 (1995) [Tech. Phys. 40, 1149 (1995)].

    Google Scholar 

  12. S. L. Sobolev, Zh. Tekh. Fiz. 68(3), 45 (1998) [Tech. Phys. 43, 307 (1998)].

    MathSciNet  Google Scholar 

  13. P. Galenko and S. Sobolev, Phys. Rev. E 55, 343 (1997).

    Article  ADS  Google Scholar 

  14. B. Wei, D. M. Herlach, and F. Sommer, J. Mater. Sci. Lett. 12, 1774 (1993).

    Article  Google Scholar 

  15. I. S. Miroshnichenko, in Growth and Defects of Metallic Crystals, Ed. by D. E. Ovsienko (Naukova Dumka, Kiev, 1972), p. 385 [in Russian].

    Google Scholar 

  16. I. S. Miroshnichenko, in Stable and Metastable Phase Equilibria in Metallic Systems, Ed. by M. E. Dritz (Nauka, Moscow, 1975), p. 151 [in Russian].

    Google Scholar 

  17. I. S. Miroshnichenko, Quenching from the Liquid State (Metallurgiya, Moscow, 1982) [in Russian].

    Google Scholar 

  18. S. Walder and P. L. Ryder, J. Appl. Phys. 74, 6100 (1993).

    Article  ADS  Google Scholar 

  19. I. S. Miroshnichenko and I. M. Galushko, in Kinetics and Mechanism of Crystallization, Ed. by N. N. Sirota (Nauka i Tekhnika, Minsk, 1973), p. 356 [in Russian].

    Google Scholar 

  20. P. K. Galenko and D. A. Danilov, Phys. Lett. A 235, 271 (1997).

    Article  ADS  Google Scholar 

  21. P. K. Galenko and D. A. Danilov, J. Cryst. Growth 197, 992 (1999).

    Article  Google Scholar 

  22. P. K. Galenko, Mater. Sci. Eng. A 375–377, 493 (2004).

    Google Scholar 

  23. P. K. Galenko and D. A. Danilov, Phys. Rev. E 69, 051608 (2004).

    Google Scholar 

  24. D. E. Temkin, Kristallografiya 15, 421 (1970) [Sov. Phys. Crystallogr. 15, 360 (1970)].

    Google Scholar 

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Original Russian Text © P.K. Galenko, D.M. Herlach, 2006, published in Zhurnal Eksperimental’ noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 130, No. 1, pp. 171–180.

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Galenko, P.K., Herlach, D.M. Diffusionless crystal growth in a eutectic system during rapid solidification. J. Exp. Theor. Phys. 103, 150–158 (2006). https://doi.org/10.1134/S1063776106070168

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  • DOI: https://doi.org/10.1134/S1063776106070168

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